Atkin-Lehner |
2- 3- 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050bz |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
8294400 |
Modular degree for the optimal curve |
Δ |
-7.0194310269434E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7221188,7576368492] |
[a1,a2,a3,a4,a6] |
j |
-2665199021876391333241/44924358572437500 |
j-invariant |
L |
5.8003619032527 |
L(r)(E,1)/r! |
Ω |
0.16112117006631 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23010c1 |
Quadratic twists by: 5 |